Question Number 172510 by Mikenice last updated on 28/Jun/22
Answered by mr W last updated on 28/Jun/22
$${e}^{\frac{{x}}{\mathrm{2}}} {x}=\pm\sqrt{\mathrm{2}} \\ $$$${e}^{\frac{{x}}{\mathrm{2}}} \left(\frac{{x}}{\mathrm{2}}\right)=\pm\frac{\sqrt{\mathrm{2}}}{\mathrm{2}} \\ $$$$\frac{{x}}{\mathrm{2}}={W}\left(\pm\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\right) \\ $$$$\Rightarrow{x}=\mathrm{2}{W}\left(\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\right)=\mathrm{0}.\mathrm{901201} \\ $$
Commented by Tawa11 last updated on 30/Jun/22
$$\mathrm{Great}\:\mathrm{sir} \\ $$